2.1/ x+1 4/5 = 3/10x
The fraction 2.1/x+1 4/5 equals 3/10x.
Find out what x equals.
if you meant 2.1 divided by x+1 and 4/5 = 3 divided by 10x the answer is .3 or 3/10............................ yeah
It’s 3/10, certified by me!
its not 5
my guy james was here
To solve for x in the equation 2.1/(x+1) 4/5 = 3/(10x), we will need to simplify the equation and isolate x.
Let's start by simplifying the equation:
2.1/(x+1) - 4/5 = 3/(10x)
To combine the fractions, we need a common denominator. The common denominator in this case is (x+1)(10x):
10x * (2.1/(x+1)) - (x+1) * (4/5) = 3
Now we can distribute the terms:
21x/(x+1) - (4x+4)/5 = 3
To get rid of the fractions, we can multiply the entire equation by (x+1) * 5:
5 * 21x - (4x+4)(x+1) = 3 * (x+1) * 5
105x - (4x+4)(x+1) = 15x + 15
Next, we can expand and simplify:
105x - (4x^2 + 8x + 4x + 4) = 15x + 15
105x - (4x^2 + 12x + 4) = 15x + 15
105x - 4x^2 - 12x - 4 = 15x + 15
Combine like terms:
-4x^2 + 78x - 19 = 0
Now, we have a quadratic equation. To solve for x, we can either factor or use the quadratic formula. Let's use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In our equation, a = -4, b = 78, and c = -19. Substituting these values into the formula:
x = (-78 ± √(78^2 - 4(-4)(-19))) / (2*(-4))
Simplifying further:
x = (-78 ± √(6084 - 304)) / (-8)
x = (-78 ± √(5779)) / (-8)
x = (-78 ± 76.05) / (-8)
Now we can solve for x:
x = (-78 + 76.05) / (-8)
x = -1.95 / (-8)
x ≈ 0.244
or
x = (-78 - 76.05) / (-8)
x = -154.05 / (-8)
x ≈ 19.255
Therefore, the values of x that solve the equation 2.1/(x+1) - 4/5 = 3/(10x) are approximately 0.244 and 19.255.
If you meant
2.1/(x+1) + 1 4/5 = 3/(10x)
then x = -1±√(7/6)
If you meant
2.1/(x+1) + 1 4/5 = 3/10 x
(5±√77)/2